Letter Graphs and Geometric Grid Classes of Permutations: Characterization and Recognition

  • Bogdan Alecu
  • Vadim Lozin
  • Viktor Zamaraev
  • Dominique de Werra
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10765)


In this paper, we reveal an intriguing relationship between two seemingly unrelated notions: letter graphs and geometric grid classes of permutations. We also present the first constructive polynomial-time algorithm for the recognition of 3-letter graphs.



Vadim Lozin and Viktor Zamaraev acknowledge support of EPSRC, grant EP/L020408/1.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Bogdan Alecu
    • 1
  • Vadim Lozin
    • 1
  • Viktor Zamaraev
    • 1
  • Dominique de Werra
    • 2
  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK
  2. 2.Institute of MathematicsEPFLLausanneSwitzerland

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